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20713320 = 233552131
BaseRepresentation
bin100111100000…
…0111101101000
31102222100100000
41033000331220
520300311240
62015543000
7341026455
oct117007550
942870300
1020713320
1110768251
126b2aa60
1343a3004
142a7282c
151c42430
hex13c0f68

20713320 has 96 divisors (see below), whose sum is σ = 69844320. Its totient is φ = 5520960.

The previous prime is 20713309. The next prime is 20713321. The reversal of 20713320 is 2331702.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20713293 and 20713302.

It is not an unprimeable number, because it can be changed into a prime (20713321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8655 + ... + 10785.

It is an arithmetic number, because the mean of its divisors is an integer number (727545).

Almost surely, 220713320 is an apocalyptic number.

20713320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20713320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34922160).

20713320 is an abundant number, since it is smaller than the sum of its proper divisors (49131000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20713320 is a wasteful number, since it uses less digits than its factorization.

20713320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 20713320 is about 4551.1888556728. The cubic root of 20713320 is about 274.6312191768.

The spelling of 20713320 in words is "twenty million, seven hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2131 2430 3240 4262 4860 6393 8524 9720 10655 12786 17048 19179 21310 25572 31965 38358 42620 51144 57537 63930 76716 85240 95895 115074 127860 153432 172611 191790 230148 255720 287685 345222 383580 460296 517833 575370 690444 767160 863055 1035666 1150740 1380888 1726110 2071332 2301480 2589165 3452220 4142664 5178330 6904440 10356660 20713320